A Characterization of Semisimple Plane Polynomial Automorphisms
Algebraic Geometry
2008-04-24 v2 Commutative Algebra
Group Theory
Abstract
It is well-known that an element of the linear group is semisimple if and only if its conjugacy class is Zariski closed. The aim of this paper is to show that the same result holds for the group of complex plane polynomial automorphisms.
Cite
@article{arxiv.0804.2157,
title = {A Characterization of Semisimple Plane Polynomial Automorphisms},
author = {Jean-Philippe Furter and Stefan Maubach},
journal= {arXiv preprint arXiv:0804.2157},
year = {2008}
}
Comments
15 pages; (v2): added the word "Automorphism" in the title (which was forgotten)